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Alves, Alexandre – International Journal of Mathematical Education in Science and Technology, 2023
Taylor series play a ubiquitous role in calculus courses, and their applications as approximants to functions are widely taught and used everywhere. However, it is not common to present the students with other types of approximations besides Taylor polynomials. These notes show that polynomials construed to satisfy certain boundary conditions at…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Error Patterns
Özlem Çeziktürk – International Journal of Mathematical Education in Science and Technology, 2025
I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.
Descriptors: Computer Software, Mathematics Instruction, Elective Courses, Teacher Education Programs
Aneta Gacovska Barandovska; Boce Mitrevski; Lambe Barandovski – International Journal of Mathematical Education in Science and Technology, 2023
Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…
Descriptors: Problem Solving, Geometry, Mathematics Instruction, Optics
Mutambara, Lillias Hamufari Natsai; Bansilal, Sarah – International Journal of Mathematical Education in Science and Technology, 2022
Many mathematics education researchers agree that students struggle to understand the key concepts in linear algebra courses. The purpose of this study was to examine in-service teachers' errors and misconceptions in the area of linear combinations. The participants were 73 Zimbabwean mathematics teachers who were enrolled in an in-service…
Descriptors: Mathematics Instruction, Mathematics Teachers, Error Patterns, Misconceptions
Baysal, Esra; Sevinc, Serife – International Journal of Mathematical Education in Science and Technology, 2022
This study investigated the role of the bar model method, a significant aspect of the Singapore mathematics curriculum, in the remediation of seventh-grade students' errors on algebra word problems. To accomplish this purpose, we first assessed students' errors on a written test involving algebra problems and identified ten students based on the…
Descriptors: Grade 7, Word Problems (Mathematics), Mathematics Instruction, Error Patterns
Vondrová, Nada – International Journal of Mathematical Education in Science and Technology, 2022
The adverse influence of the presence of an irrelevant number and language inconsistency in a word problem is well known. Our study focused on the combination of these two variables and on the position of the irrelevant number in the word problem for Grade 6 pupils. The study has a mixed design. Item Response Theory was used to make equally able…
Descriptors: Grade 6, Mathematics Instruction, Word Problems (Mathematics), Difficulty Level
Karpuz, Yavuz; Atasoy, Ercan – International Journal of Mathematical Education in Science and Technology, 2020
The present study aims to examine high school mathematics teachers' content knowledge of the logical structure of proof in geometry. For this purpose, three scenarios were established based on errors in proof deriving from the figural-concept interactions. Based on these scenarios, clinical interviews were held with five mathematics teachers, who…
Descriptors: Foreign Countries, High School Teachers, Mathematics Teachers, Mathematics Instruction
Leron, Uri; Ejersbo, Lisser Rye – International Journal of Mathematical Education in Science and Technology, 2021
Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…
Descriptors: Mathematics Instruction, Intuition, Teaching Methods, Error Patterns
Cronin, Anthony; Intepe, Gizem; Shearman, Donald; Sneyd, Alison – International Journal of Mathematical Education in Science and Technology, 2019
This paper explores analysis of feedback data collected from student consultations at two mathematics support centres at universities in Australia and Ireland. Unstructured text data was collected over six years and includes qualitative data on student queries collected during the consultations from mathematics and statistics related subjects.…
Descriptors: Natural Language Processing, Feedback (Response), Mathematics Instruction, Academic Support Services
Wheeler, Ann; Champion, Joe – International Journal of Mathematical Education in Science and Technology, 2013
Learning to write formal mathematical proofs presents a major challenge to undergraduates. Students who have succeeded in algorithm-intensive courses such as calculus often find the abstract logic and nonprocedural nature of proof writing to be technically difficult, ambiguous and "filled" with potential errors and misconceptions. This…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Algebra
Sahin, Ömer; Gökkurt, Burçin; Soylu, Yasin – International Journal of Mathematical Education in Science and Technology, 2016
The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two…
Descriptors: Mathematics, Mathematics Teachers, Fractions, Pedagogical Content Knowledge
Papadopoulos, Ioannis – International Journal of Mathematical Education in Science and Technology, 2013
In this paper a two-stage research study is described focused on problem solving relevant to place-value and on the use of the operations within the calculator environment. The findings show that in this specific environment and via appropriate tasks teachers are provided with a context to better understand what year 5 or 6 pupils know or do not…
Descriptors: Calculators, Mathematics Instruction, Teaching Methods, Problem Solving
Prentice, J. S. C. – International Journal of Mathematical Education in Science and Technology, 2011
A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed.…
Descriptors: Mathematics Instruction, College Mathematics, Problem Solving, Error Patterns
Gagatsis, Athanasios; Panaoura, Areti – International Journal of Mathematical Education in Science and Technology, 2014
The study aimed to investigate students' conceptions on the notion of absolute value and their abilities in applying the specific notion in routine and non-routine situations. A questionnaire was constructed and administered to 17-year-old students. Data were analysed using the hierarchical clustering of variables and the implicative method, while…
Descriptors: Mathematics Instruction, Mathematical Concepts, Questionnaires, Mathematical Logic
Sidenvall, Johan; Lithner, Johan; Jäder, Jonas – International Journal of Mathematical Education in Science and Technology, 2015
This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such…
Descriptors: Mathematics Instruction, Textbooks, Problem Solving, Secondary School Students
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